**Modeling Fraction Division Worksheet :**

Worksheet given in this section will be much useful for the students who would like to practice problems on modeling fraction division.

**Problem 1 : **

David has 3/4 cup of salsa for making burritos. Each burrito requires 1/8 cup of salsa. How many burritos can David make ?

**Problem 2 : **

Five people share 1/2 pound of cheese equally. How much cheese does each person receive?

**Problem 3 : **

One pizza can be made in 1/2 hour. How many pizzas can be made in 5/2 hours ?

**Problem 4 : **

David eats 1/4 of a pizza and divides the remaining in to two equal parts for his two kids. What is the part of the pizza will each kid receive ?

**Problem 5 : **

I can cover 3/4 mile in 1/2 hour by walk. Find the distance covered by in two hours.

**Problem 1 : **

David has 3/4 cup of salsa for making burritos. Each burrito requires 1/8 cup of salsa. How many burritos can David make ?

**Solution : **

To find the number of burritos that can be made, you need to determine how many 1/8 -cup servings are in 3/4 cup.

In the diagram given below, 3/4 of a whole is divided into quarters and into eighths.

In the whole cup, there are eight 1/8 cups.

But, David has 3/4 cup of salsa.

So, we have to count the number of 1/8 cups in 3/4 cup in the above diagram.

And there are six 1/8 cups in 3/4 cup of salsa.

Hence, David can make 6 burritos from 3/4 cup of salsa.

**Problem 2 : **

Five people share 1/2 pound of cheese equally. How much cheese does each person receive?

**Solution : **

To find how much cheese each person receives, you can divide 1/2 pound into 5 equal parts. Use the diagram to determine what fraction of a whole pound each person receives.

In the diagram given below, 1/2 of a whole is divided into halves and into tenths.

In one pound of cheese, there are ten 1/10s.

But, there is 1/2 pound of cheese.

So, we have to count the number of 1/10s in 1/2 pound of cheese.

And there are five 1/10s in 1/2 pound of cheese.

Hence, Each person will receive 1/10 pound of cheese.

**Problem 3 :**

One pizza can be made in 1/2 hour. How many pizzas can be made in 5/2 hours ?

**Solution : **

Time taken to make one pizza = 1/2 hour

No. of pizzas made in 5/2 hours = 5/2 ÷ 1/2

No. of pizzas made in 5/2 hours = 5/2 ⋅ 2/1

No. of pizzas made in 5/2 hours = (5 ⋅ 2) / (2 ⋅ 1)

No. of pizzas made in 5/2 hours = (5 ⋅ 1) / (1 ⋅ 1)

No. of pizzas made in 5/2 hours = 5 / 1

No. of pizzas made in 5/2 hours = 5

**Problem 4 :**

David eats 1/4 of a pizza and divides the remaining in to two equal parts for his two kids. What is the part of the pizza will each kid receive ?

**Solution : **

Part of the pizza eaten by David = 1/4

Remaining pizza = 3/4

Given : Remaining pizza is divided in to equal parts for his two kids.

So, part of the pizza received by each kid is

= (3/4) ÷ 2

= 3/(4 ⋅ 2)

= 3/8

Hence, each kid will receive 3/8 part of the pizza.

**Problem 5 :**

I can cover 3/4 mile in 1/2 hour by walk. Find the distance covered by in two hours.

**Solution : **

Given : 3/4 miles of distance covered in 1/2 hour.

We all know the formula for speed. That is

Speed = Distance / Time

Here, Distance = 3/4 miles and time = 1/2 hour

Speed = (3/4) ÷ (1/2)

Speed = (3/4) ⋅ (2/1)

Speed = (3 ⋅ 2) / (4 ⋅ 1)

Speed = (3 ⋅ 1) / (2 ⋅ 1)

Speed = 3/2

Therefore, speed is 3/2 miles per hour.

That is, 3/2 miles of distance covered in one hour.

Then the distance covered in two hours is

= (3/2) ⋅ 2

= 3 miles

Hence, I will cover 3 miles of distance in 2 hours.

After having gone through the stuff given above, we hope that the students would have understood, how to model fraction division.

Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.

HTML Comment Box is loading comments...

You can also visit the following web pages on different stuff in math.

**WORD PROBLEMS**

**Word problems on simple equations **

**Word problems on linear equations **

**Word problems on quadratic equations**

**Area and perimeter word problems**

**Word problems on direct variation and inverse variation **

**Word problems on comparing rates**

**Converting customary units word problems **

**Converting metric units word problems**

**Word problems on simple interest**

**Word problems on compound interest**

**Word problems on types of angles **

**Complementary and supplementary angles word problems**

**Trigonometry word problems**

**Markup and markdown word problems **

**Word problems on mixed fractrions**

**One step equation word problems**

**Linear inequalities word problems**

**Ratio and proportion word problems**

**Word problems on sets and venn diagrams**

**Pythagorean theorem word problems**

**Percent of a number word problems**

**Word problems on constant speed**

**Word problems on average speed **

**Word problems on sum of the angles of a triangle is 180 degree**

**OTHER TOPICS **

**Time, speed and distance shortcuts**

**Ratio and proportion shortcuts**

**Domain and range of rational functions**

**Domain and range of rational functions with holes**

**Graphing rational functions with holes**

**Converting repeating decimals in to fractions**

**Decimal representation of rational numbers**

**Finding square root using long division**

**L.C.M method to solve time and work problems**

**Translating the word problems in to algebraic expressions**

**Remainder when 2 power 256 is divided by 17**

**Remainder when 17 power 23 is divided by 16**

**Sum of all three digit numbers divisible by 6**

**Sum of all three digit numbers divisible by 7**

**Sum of all three digit numbers divisible by 8**

**Sum of all three digit numbers formed using 1, 3, 4**

**Sum of all three four digit numbers formed with non zero digits**